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Finding the Third Proportional to 188,421.19 and 410,664.94

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Solution

The third proportional to 188,421.19 and 410,664.94 is: 895,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,421.19 : 410,664.94 = 410,664.94 : x
  2. Step 2: Convert to fraction form
    188,421.19/410,664.94 = 410,664.94/x
  3. Step 3: Cross multiply
    188,421.19x = 410,664.94 × 410,664.94
  4. Step 4: Simplify right side
    188,421.19x = 168,645,690,891.88
  5. Step 5: Solve for x
    x = 168,645,690,891.88/188,421.19
  6. Step 6: Final answer
    x = 895,046.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.